Structure and classification of C ∗-algebras

  title={Structure and classification of C ∗-algebras},
  author={Mikael R\ordam},
  • Mikael Rørdam
  • Published 2006
We give an overview of the development over the last 15 years of the theory of simple C∗-algebras, in particular in regards to their classification and structure. We discuss dimension theory for (simple) C∗-algebras, in particular the so-called stable and real ranks, and we explain how properties of C∗-algebras of low dimension (stable rank one and real rank zero) was used by the author and P. Friis to give a new and simple proof of a theorem of H. Lin that almost commuting self-adjoint… CONTINUE READING

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